Higgs Scalaron Mixed Inflation

Abstract

We discuss the inflationary dynamics of a system with a non-minimal coupling between the Higgs and the Ricci scalar as well as a Ricci scalar squared term. There are two scalar modes in this system, i.e. the Higgs and the spin-zero mode of the graviton, or the scalaron. We study the two-field dynamics of the Higgs and the scalaron during inflation, and clarify the condition where inflation is dominated by the Higgs/scalaron. We also find that the cut-off scale at around the vacuum is as large as the Planck scale, and hence there is no unitarity issue, although there is a constraint on the couplings from the perturbativity of the theory at around the vacuum.

10 pages, 4 figures; v2: references added, typos corrected, terminology changed; v3: appendices added, version accepted in PLB

References in corpus (19)

• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• Power-counting and the Validity of the Classical Approximation During Inflation
• On Inflation with Non-minimal Coupling
• The Probable Fate of the Standard Model
• Higgs inflation at the critical point
• Higgs inflation still alive
• Unitarizing Higgs Inflation
• Spacetime curvature and the Higgs stability during inflation
• Electroweak Vacuum Stability in light of BICEP2
• A Unitarity-Conserving Higgs Inflation Model
• Higgs Starobinsky Inflation
• Multifield Dynamics of Higgs Inflation
• Postinflationary Higgs relaxation and the origin of matter-antimatter asymmetry
• Inflationary cosmology and the standard model Higgs with a small Hubble induced mass
• On the geometrical interpretation of scale-invariant models of inflation
• Spacetime Dynamics of a Higgs Vacuum Instability During Inflation
• Higgs condensation as an unwanted curvaton
• Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics

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